Finding the Third Proportional to 149,529 and 213,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,529 : 213,277.50 = 213,277.50 : x
2. Step 2: Convert to fraction form
   149,529/213,277.50 = 213,277.50/x
3. Step 3: Cross multiply
   149,529x = 213,277.50 × 213,277.50
4. Step 4: Simplify right side
   149,529x = 45,487,292,006.25
5. Step 5: Solve for x
   x = 45,487,292,006.25/149,529
6. Step 6: Final answer
   x = 304,203.81